5375337776400 has 240 divisors, whose sum is σ = 17279735526144. Its totient is φ = 1428372234240.

The previous prime is 5375337776353. The next prime is 5375337776429. The reversal of 5375337776400 is 46777335735.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1222499002 + ... + 1222503398.

Almost surely, 2^{5375337776400} is an apocalyptic number.

5375337776400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5375337776400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8639867763072).

5375337776400 is an abundant number, since it is smaller than the sum of its proper divisors (11904397749744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5375337776400 is a wasteful number, since it uses less digits than its factorization.

5375337776400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7778 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 38896200, while the sum is 57.

The spelling of 5375337776400 in words is "five trillion, three hundred seventy-five billion, three hundred thirty-seven million, seven hundred seventy-six thousand, four hundred".